Some Characterizations of the Preimage of A∞ for the Hardy-Littlewood Maximal Operator and Consequences

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Autor principal: Corvalán, Álvaro
Formato: Artículo publishedVersion
Lenguaje:Inglés
Publicado: Michigan State University Press 2025
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Acceso en línea:http://repositorio.ungs.edu.ar:8080/xmlui/handle/UNGS/2347
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spelling I71-R177-UNGS-23472025-07-29T18:07:03Z Some Characterizations of the Preimage of A∞ for the Hardy-Littlewood Maximal Operator and Consequences Corvalán, Álvaro A? classes Maximal operators Matemáticas Revista con referato Fil: Corvalán, Álvaro. Universidad Nacional de General Sarmiento. Instituto del Desarrollo Humano; Argentina. The purpose of this paper is to give some characterizations of the weight functions w such that Mw∈A∞(Rn). We show that, for these Mw weights, being in A∞ ensures being in A1. We give a criterion in terms of the local maximal functions and we present a pair of applications, one of them similar to the Coifman-Rochberg characterization of A1 but using functions of the form (f#)δ and (mλu)δ instead of (Mf)δ. 2025-07-29T18:04:54Z 2025-07-29T18:04:54Z 2019 info:eu-repo/semantics/article info:ar-repo/semantics/artículo info:eu-repo/semantics/publishedVersion Corvalán, A. (2019). Some Characterizations of the Preimage of A∞ for the Hardy-Littlewood Maximal Operator and Consequences. Real Anal. Exchange, 44(1), 141-166. 0147-1937 http://repositorio.ungs.edu.ar:8080/xmlui/handle/UNGS/2347 eng https://doi.org/10.14321/realanalexch.44.1.0141 info:eu-repo/semantics/openAccess https://creativecommons.org/licenses/by-nc-nd/4.0/ application/pdf application/pdf Michigan State University Press Real Anal. Exchange. 2019; 44(1): 141-166 https://projecteuclid.org/journals/real-analysis-exchange/volume-44/issue-1
institution Universidad Nacional de General Sarmiento
institution_str I-71
repository_str R-177
collection Repositorio Institucional Digital de Acceso Abierto (UNGS)
language Inglés
orig_language_str_mv eng
topic A? classes
Maximal operators
Matemáticas
spellingShingle A? classes
Maximal operators
Matemáticas
Corvalán, Álvaro
Some Characterizations of the Preimage of A∞ for the Hardy-Littlewood Maximal Operator and Consequences
topic_facet A? classes
Maximal operators
Matemáticas
description Revista con referato
format Artículo
Artículo
publishedVersion
author Corvalán, Álvaro
author_facet Corvalán, Álvaro
author_sort Corvalán, Álvaro
title Some Characterizations of the Preimage of A∞ for the Hardy-Littlewood Maximal Operator and Consequences
title_short Some Characterizations of the Preimage of A∞ for the Hardy-Littlewood Maximal Operator and Consequences
title_full Some Characterizations of the Preimage of A∞ for the Hardy-Littlewood Maximal Operator and Consequences
title_fullStr Some Characterizations of the Preimage of A∞ for the Hardy-Littlewood Maximal Operator and Consequences
title_full_unstemmed Some Characterizations of the Preimage of A∞ for the Hardy-Littlewood Maximal Operator and Consequences
title_sort some characterizations of the preimage of a∞ for the hardy-littlewood maximal operator and consequences
publisher Michigan State University Press
publishDate 2025
url http://repositorio.ungs.edu.ar:8080/xmlui/handle/UNGS/2347
work_keys_str_mv AT corvalanalvaro somecharacterizationsofthepreimageofaforthehardylittlewoodmaximaloperatorandconsequences
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